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Finding the Fourth Proportional to 53,434.80, 79,717.68 and 45,594

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Solution

The fourth proportional to 53,434.80, 79,717.68 and 45,594 is: 68,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,434.80 : 79,717.68 = 45,594 : x
  2. Step 2: Convert to fraction form
    53,434.80/79,717.68 = 45,594/x
  3. Step 3: Cross multiply
    53,434.80x = 79,717.68 × 45,594
  4. Step 4: Simplify right side
    53,434.80x = 3,634,647,901.92
  5. Step 5: Solve for x
    x = 3,634,647,901.92/53,434.80
  6. Step 6: Final answer
    x = 68,020.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.